40119222240 has 288 divisors, whose sum is σ = 142292142720. Its totient is φ = 10674768384.

The previous prime is 40119222239. The next prime is 40119222259. The reversal of 40119222240 is 4222291104.

40119222240 is a `hidden beast` number, since 401 + 19 + 2 + 2 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24065887 + ... + 24067553.

It is an arithmetic number, because the mean of its divisors is an integer number (494069940).

Almost surely, 2^40119222240 is an apocalyptic number.

40119222240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40119222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71146071360).

40119222240 is an abundant number, since it is smaller than the sum of its proper divisors (102172920480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40119222240 is a wasteful number, since it uses less digits than its factorization.

40119222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40119222240 in words is "forty billion, one hundred nineteen million, two hundred twenty-two thousand, two hundred forty".